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Simplifying 5x + -6(x + -1) = 2x + -6 Reorder the terms: 5x + -6(-1 + x) = 2x + -6 5x + (-1 * -6 + x * -6) = 2x + -6 5x + (6 + -6x) = 2x + -6 Reorder the terms: 6 + 5x + -6x = 2x + -6 Combine like terms: 5x + -6x = -1x 6 + -1x = 2x + -6 Reorder the terms: 6 + -1x = -6 + 2x Solving 6 + -1x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x 6 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -3x = -6 + 0 6 + -3x = -6 Add '-6' to each side of the equation. 6 + -6 + -3x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -6 + -6 -3x = -6 + -6 Combine like terms: -6 + -6 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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